As improper fractions: 24/11, 13/8, 19/9, 10/7.
We can divide up to 2 decimal places:
2.18, 1.63, 2.11, 1.43. Now they can be ordered:
1.43, 1.63, 2.11, 2.18.
So now write the original numbers (improper fractions):
10/7, 13/8, 19/9, 24/11 = 13/7, 1⅝, 21/9, 22/11.
Another way to do it is to separate the numbers by putting the numbers with the whole part as 1 first then those with 2 as the whole part:
1⅝, 13/7 and 22/11, 21/9
Now we can compare the fraction parts: 5/8 and 3/7. Common denominator is 56 so we get:
35/56 and 24/56. Since 35 is bigger than 24, the correct order is 24/56=3/7 and 35/56=5/8.
The same with the other pair: 2/11 and 1/9. Common denominator is 99 so we get:
18/99 and 11/99. Since 18 is bigger than 11, the order is 11/99=1/9 and 18/99=2/11.
We have now ordered all the numbers: 13/7, 1⅝, 21/9, 22/11.